6-NS7

Understand ordering and absolute value of rational numbers.

a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. [6-NS7a]

• Example: Interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.

b. Write, interpret, and explain statements of order for rational numbers in real-world contexts. [6-NS7b]

• Example: Write -3 °C > -7 °C to express the fact that -3 °C is warmer than -7 °C

c. Absolute value [6-NS7c]

• Understand the absolute value of a rational number as its distance from 0 on the number line
• Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation
• Example: For an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars

d. Distinguish comparisons of absolute value from statements about order. [6-NS7d]

• Example: Recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars